Natalia Amburg

collaborators

2 papers

math-ph2024

The three-point Gaudin model and branched coverings of the Riemann sphere

Natalia Amburg, Ilya Tolstukhin

We study the three-point quantum $s l_{2}$ -Gaudin model. In this case the compactification of the parameter space is $M_{0, 4} (C)$ , which is the Riemann…

math.AG2024

Belyi Function Decompositions for The Icosahedron of Genus 4

Natalia Amburg, Mariia Kovaleva

The icosahedron $I_{4}$ of genus 4 is a dessin d'enfant embedded in Bring's curve $B$ . The dessin $I_{4}$ is related in some sense to a regular icosahedron $I_{0}$ embedded in…